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Finding the Fourth Proportional to 204,062.52, 281,604.78 and 114,638.52

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Solution

The fourth proportional to 204,062.52, 281,604.78 and 114,638.52 is: 158,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,062.52 : 281,604.78 = 114,638.52 : x
  2. Step 2: Convert to fraction form
    204,062.52/281,604.78 = 114,638.52/x
  3. Step 3: Cross multiply
    204,062.52x = 281,604.78 × 114,638.52
  4. Step 4: Simplify right side
    204,062.52x = 32,282,755,204.13
  5. Step 5: Solve for x
    x = 32,282,755,204.13/204,062.52
  6. Step 6: Final answer
    x = 158,200.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.